Abstract
Search methodologies essentially explore a solution space to solve optimization problems. As the field has developed the effectiveness of exploring other spaces has been established. For example genetic programming explores the program space. Similarly, hyper-heuristics explore the heuristic space. In previous work the advantage of switching search between different spaces rather than working in a single space has been illustrated. This paper extends this work by presenting the bi-space search which optimizes when the switch between spaces should take place. The bi-space search employs iterated local search to optimize when to switch between the solution and heuristic spaces in solving discrete optimization problems. The performance of the bi-space search is compared to searching the solution space only and a hyper-heuristic searching the heuristic space. Both the solution and heuristic space searches employ iterated local search to explore the solution and heuristic space respectively. All three searches are evaluated on the one dimensional bin packing problem. The bi-space search was found to outperform the solution space search and hyper-heuristic.
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Bai, R., Blazewicz, J., Burke, E.K., Kendall, G., McCollum, B.: A simulated annealing hyper-heuristic methodology for flexible decision support. 4OR 10(1), 43–66 (2012)
Beckedahl, D., Pillay, N.: A study of bi-space search for solving the one-dimensional bin packing problem. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J.M. (eds.) ICAISC 2020. LNCS (LNAI), vol. 12416, pp. 277–289. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-61534-5_25
Buljubašić, M., Vasquez, M.: Consistent neighborhood search for one-dimensional bin packing and two-dimensional vector packing. Comput. Oper. Res. 76, 12–21 (2016)
Demšar, J.: Statistical comparisons of classifiers over multiple data sets. J. Mach. Learn. Res. 7, 1–30 (2006)
Falkenauer, E.: A hybrid grouping genetic algorithm for bin packing. J. Heurist. 2(1), 5–30 (1996)
Fleszar, K., Hindi, K.S.: New heuristics for one-dimensional bin-packing. Comput. Operat. Res. 29(7), 821–839 (2002)
Koza, J.R.: Genetic Programming On the Programming of Computers by Means of Natural Selection. MIT (1992)
Pillay, N., Qu, R.: Hyper-Heuristics: Theory and Applications. Natural Computing Series, Springer International Publishing (2018). https://doi.org/10.1007/978-3-319-96514-7
Quiroz-Castellanos, M., Cruz-Reyes, L., Torres-Jimenez, J., Gómez S., C., Huacuja, H.J.F., Alvim, A.C.: A grouping genetic algorithm with controlled gene transmission for the bin packing problem. Comput. Operat. Res. 55, 52–64 (2015)
Scheithauer, G.: one-dimensional bin packing. In: Introduction to Cutting and Packing Optimization. ISORMS, vol. 263, pp. 47–72. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-64403-5_3
Schoenfield, J.: Fast, exact solution of open bin packing problems without linear programming. Tech. rep, US Army Space and Missile Defense Command, Huntsville, Alabama, USA (2002)
Scholl, A., Klein, R., Jürgens, C.: Bison: A fast hybrid procedure for exactly solving the one-dimensional bin packing problem. Comput. Operat. Res. 24(7), 627–645 (1997)
Schwerin, P., Wäscher, G.: The bin-packing problem: A problem generator and some numerical experiments with ffd packing and mtp. Int. Trans. Oper. Res. 4(5–6), 377–389 (1997)
Wäscher, G., Gau, T.: Heuristics for the integer one-dimensional cutting stock problem: A computational study. Operat. Res. Spektrum 18(3), 131–144 (1996)
Acknowledgements
This work was funded as part of the Multichoice Research Chair in Machine Learning at the University of Pretoria, South Africa. The authors acknowledge the Centre for High Performance Computing (CHPC), South Africa, for providing computational resources toward this research.
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Beckedahl, D., Pillay, N. (2023). Bi-Space Search: Optimizing the Hybridization of Search Spaces in Solving the One Dimensional Bin Packing Problem. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2022. Lecture Notes in Computer Science(), vol 13589. Springer, Cham. https://doi.org/10.1007/978-3-031-23480-4_17
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